MÉTRIS , G.

Considering a point of polar coordinates (r,ν) on an elliptic orbit of semi-major axis a, we set up and compare two algorithms based on recurrence relations to compute the Hansen-like coefficients View the MathML source, which are the coefficients of the expansion of (r/a)nexpimν in Fourier series of the eccentric anomaly. Both Hansen-like...

National audience

Journal of Geophysical Research, Solid Earth, v. 109, p. B10401, 2004. http://dx.doi.org/10.1029/2003JB002921

The study of the relative motion between two very-close non-massive objects has been usually done through Hill equations. More recent approaches use the differences of orbital elements to extrapolate relative motion. In this paper, we present another possible representation of the relative motion. This representation takes advantage of the very...

International audience

Celestial Mechanics and Dynamical Astronomy, v. 88, n. 2, p. 153-161, 2004. http://dx.doi.org/10.1023/B:CELE.0000016815.55262.97

International audience

Celestial Mechanics and Dynamical Astronomy, v. 94, n. 1, p. 83-104, 2006. http://dx.doi.org/10.1007/s10569-005-1472-2

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A real alternative to Lagrange point very low perturbed orbits, for universe observation missions, is high eccentric Earth orbits. Combination of high eccentricity and very large semi-major axis leads to orbits with an important part of flight time far from Earth and its perturbations. Modeling this particular relative motion is the scoop of...

Null test of the universality of free fall to an accuracy of 1E-15 will confirm the Einstein Principle of General Relativity pushing away the search for new interaction and potential deviation suggested by the theoretical attempts of quantum gravity. A violation, when confirmed, may be the first experimental result of a more precise nature of...

This paper aims at investigating the stability over 150 years of a very large number of trajectories in the Medium Earth Orbit (MEO) region, near the orbits devoted to radionavigation such as the Global Navigation Satellite Systems (GNSS like GPS, Glonass, Galileo, COMPASS). The stability is characterized by the long term evolution of the...

The MICROSCOPE space mission aims to test the Equivalence Principle with an accuracy of 10-15. The drag-free micro-satellite will orbit around the Earth and embark a differential electrostatic accelerometer including two cylindrical test masses submitted to the same gravitational field and made of different materials. The experience consists in...

The analysis of physical measurements often copes with highly correlated noises and interruptions caused by outliers, saturation events, or transmission losses. We assess the impact of missing data on the performance of linear regression analysis involving the fit of modeled or measured time series. We show that data gaps can significantly...

We present a Gaussian regression method for time series with missing data and stationary residuals of unknown power spectral density (PSD). The missing data are efficiently estimated by their conditional expectation as in universal Kriging based on the circulant approximation of the complete data covariance. After initialization with an...

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The Pioneer anomaly refers to the difference between the computed trajectories of the Pioneer 10 and 11 spacecrafts and their actual trajectories as observed through Doppler tracking. This difference has been described by the Jet Propulsion Laboratory (JPL) as a constant anomalous acceleration. In order to perform an independent analysis,...

The Pioneer Anomaly refers to the difference between the expected theoretical tra jectory of the Pioneer 10 and 11 spacecrafts and the observed tra jectory through Doppler measurements. It has been interpreted by the Jet Propulsion Laboratory (JPL) as a constant anomalous acceleration (Anderson et al. 2002). For this analysis, the Groupe...

Since the years 2000, three space missions, CHAMP, GRACE, and GOCE, have led us to consider the Earth's gravitational field and its measurement in a new light, using dedicated sensors and adequate data processing, revealing the changes in the Earth's field as the true signal rather than the disturbing terms in addition to the geostatic...

This paper aims at investigating the stability over 200 years of a very large number of orbits in the MEO and GEO regions. The initial conditions of the orbits cover a wide range of semi- major axes and inclinations, regularly sampled, so as to describe as exhaustively as possible the gravitational perturbations acting on the space debris...